802406741235840 has 768 divisors, whose sum is σ = 3098560451051520. Its totient is φ = 197254210535424.

The previous prime is 802406741235839. The next prime is 802406741235877. The reversal of 802406741235840 is 48532147604208.

802406741235840 is a `hidden beast` number, since 8 + 0 + 2 + 40 + 6 + 7 + 4 + 12 + 3 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530210177 + ... + 1530734463.

It is an arithmetic number, because the mean of its divisors is an integer number (4034583920640).

Almost surely, 2^{802406741235840} is an apocalyptic number.

802406741235840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802406741235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549280225525760).

802406741235840 is an abundant number, since it is smaller than the sum of its proper divisors (2296153709815680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

802406741235840 is a wasteful number, since it uses less digits than its factorization.

802406741235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525091 (or 525067 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 802406741235840 in words is "eight hundred two trillion, four hundred six billion, seven hundred forty-one million, two hundred thirty-five thousand, eight hundred forty".